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1380/1FEdexcel GCSEMathematics (Linear) – 1380Paper 1 (Non-Calculator)
Foundation TierTuesday 9 November 2010 – MorningTime: 1 hour 30 minutes
Materials required for examination Items included with question papersRuler graduated in centimetres and Nilmillimetres, protractor, compasses,pen, HB pencil, eraser.Tracing paper may be used.
Paper Reference
1 3 8 0 1 F
This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2010 Edexcel Limited.
Printer’s Log. No.
N37831AW850/R1380/57570 6/6/6/6
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Instructions to CandidatesIn the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper.Answer ALL the questions. Write your answers in the spaces provided in this question paper.You must NOT write on the formulae page. Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets.
Information for CandidatesThe marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).There are 31 questions in this question paper. The total mark for this paper is 100.There are 28 pages in this question paper. Any blank pages are indicated.Calculators must not be used.
Advice to CandidatesShow all stages in any calculations.Work steadily through the paper. Do not spend too long on one question.If you cannot answer a question, leave it and attempt the next one.Return at the end to those you have left out.
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GCSE Mathematics (Linear) 1380
Formulae: Foundation Tier
You must not write on this formulae page.Anything you write on this formulae page will gain NO credit.
Area of trapezium = (a + b)h
Volume of prism = area of cross section × length
b
a
h
length
crosssection
12
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3
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Answer ALL THIRTY ONE questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must NOT use a calculator.
1. Lisa has 4 cards. Each card has a number on it.
5 3 2 8 Lisa makes a number using all four cards.
(a) Write down the smallest number Lisa can make.
........................................................................ (1)
(b) Write down the largest number Lisa can make.
........................................................................ (1)
(c) Write down an odd number Lisa can make.
........................................................................ (1) Q1
(Total 3 marks)
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4
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2. The bar chart shows the numbers of men and women on a boat trip.
10
9
8
7
6
5
4
3
2
1
0Men Women Children
Number
There were 5 children on the boat trip.
(a) Complete the bar chart.(1)
(b) Work out the total number of men, women and children on the boat trip.
.....................................(2) Q2
(Total 3 marks)
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5
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3. (a) Write the number 4906 in words.
.......................................................................................................................................(1)
(b) Write the number ten thousand five hundred and forty eight in figures.
.....................................(1)
(c) Write the number 463 to the nearest ten.
.....................................(1)
(d) Write the number 29 760 to the nearest thousand.
.....................................(1) Q3
(Total 4 marks)
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6
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4. The table shows some information about five students.
Name Gender Age Number of brothers Number of sisters
Angus Male 15 2 2
Ben Male 16 2 0
Clare Female 16 0 1
Jane Female 15 2 2
Pavel Male 16 1 3
(a) How many sisters does Clare have?
.....................................(1)
One male student has 2 brothers and 2 sisters.
(b) Write down the name of this student.
.....................................(1)
5. (a) Here is a regular pentagon.
What fraction of the pentagon is shaded?
.....................................(1)
Q4
(Total 2 marks)
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(b) Here is a shape.
What percentage of the shape is not shaded?
................................. %(1)
(c) Here is a different shape.
Shade 32
of this shape.(1)
(d) Here are some fractions.
64
106
3020
128
10066
Which two of these fractions are not equivalent to 32
?
....................... and .......................(2) Q5
(Total 5 marks)
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8
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6. Here is a diagram of a prism.
Write down the number of
(i) faces
.....................................
(ii) edges
.....................................
(iii) vertices
..................................... Q6
(Total 3 marks)
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7. (a) On the shape, draw all the lines of symmetry.
(2)
The shape below has rotational symmetry.
(b) Write down the order of rotational symmetry.
.....................................(1) Q7
(Total 3 marks)
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10
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8. Here is part of a timetable for a bus.
Blunsdon 07 18 07 45 08 33
Cricklade 07 26 07 53 08 41
Latton 07 31 07 58 08 46
South Cerney 07 38 08 05 08 53
Siddington 07 47 08 14 09 02
Seven Springs 08 26 08 51 09 39
Cheltenham 08 50 09 12 10 00
A bus leaves Blunsdon at 07 45
(a) At what time should the bus arrive at Siddington?
.....................................(1)
Peter arrives at the Latton bus stop at 08 35 He waits for the next bus to Seven Springs.
(b) (i) How many minutes should he wait?
........................ minutes
(ii) At what time should Peter arrive at Seven Springs?
.....................................(2)
Marie gets the bus from Cricklade at 07 26
(c) How many minutes should this bus take to travel from Cricklade to Cheltenham?
........................ minutes(2) Q8
(Total 5 marks)
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9. (a) Work out 4 × 3 + 2
.....................................(1)
(b) Work out 20 − 12 ÷ 4
.....................................(1)
(c) Work out (18 ÷ 3) + (20 ÷ 5)
.....................................(1)
(d) Work out (3 + 5)2
..................................... (1) Q9
(Total 4 marks)
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12
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10. (a) Here is a list of numbers.
3 5 7 8 9 10 12
From the list of numbers, write down
(i) a multiple of 6
.....................................
(ii) a factor of 14
.....................................
(iii) a square root of 25
.....................................(3)
(b) Scott says
‘If you add two different square numbers, you will always get an even number.’
Show that Scott is wrong.
(2) Q10
(Total 5 marks)
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11. d = 6
(a) (i) Work out the value of 3 + d
.....................................
(ii) Work out the value of 2d
.....................................(2)
h = 3f + 4g
f = 2 g = −1
(b) Work out the value of h
h = ................................(2)
12. Write down a sensible metric unit for each measurement.
(i) The weight of a pair of sunglasses.
.....................................
(ii) The height of a house.
.....................................
(iii) The volume of toothpaste in a tube of toothpaste.
.....................................
Q11
(Total 4 marks)
Q12
(Total 3 marks)
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13. This graph can be used to change between pounds (£) and Hong Kong dollars.
0 2 4 6 8 10
160
140
120
100
80
60
40
20
Hong Kong dollars
Pounds (£)
0
(a) Use the graph to change £5 to Hong Kong dollars.
.........................Hong Kong dollars(1)
(b) Use the graph to change 120 Hong Kong dollars to pounds.
£ ...................................(1) Q13
(Total 2 marks)
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14. Jasmine is n years old.
Alfie is twice as old as Jasmine.
(a) Write down an expression, in terms of n, for Alfie’s age.
.....................................(1)
Nimer is 3 years older than Jasmine.
(b) Write down an expression, in terms of n, for Nimer’s age.
.....................................(1) Q14
(Total 2 marks)
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15. Mrs Yusuf went shopping at a superstore.
The pie chart shows information about the money she spent on petrol, on clothes, on food and on other items.
Otheritems
Food
Petrol
Clothes
(a) What did she spend most money on?
.....................................(1)
(b) What fraction of the money she spent was on petrol?
.....................................(1)
Mrs Yusuf spent £25 on petrol at the superstore.
(c) In total, how much money did she spend?
£ ...................................(2) Q15
(Total 4 marks)
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16.
150°
xy
Diagram NOTaccurately drawn
Fiona says “angle x is 150°”
Fiona is correct.
(a) Give a reason why.
.......................................................................................................................................
.......................................................................................................................................(1)
Neelan says “angle y is 40°”
Neelan is wrong.
(b) Explain why.
.......................................................................................................................................
.......................................................................................................................................(1) Q16
(Total 2 marks)
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17. A fair 6-sided dice has coloured faces.
3 faces are red. 2 faces are blue. 1 face is green.
Katie rolls the dice once.
(a) Write down the colour she is least likely to get.
.....................................(1)
(b) Write down the probability that she gets blue.
.....................................(1)
18. Write down the mathematical name of each of these solid shapes.
(i) .............................................. (ii) ..............................................
Q17
(Total 2 marks)
Q18
(Total 2 marks)
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19. Work out an estimate for the value of 27 × 52.9
.....................................
20. There are 540 workers in a factory.
240 of the workers are female.
15% of male workers are more than 50 years of age.
Work out the number of male workers that are more than 50 years of age.
.....................................
Q19
(Total 2 marks)
Q20
(Total 3 marks)
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21. On the grid draw the graph of x + y = 4 for values of x from −2 to 5
2 1 O 1 2 3 4 5_
_
_
_ _
7
6
5
4
3
2
1
1
2
3
y
x
Q21
(Total 3 marks)
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22. Louise spins a four-sided spinner and a five-sided spinner.
7
9
1
3 52
6 4
8
The four-sided spinner is labelled 2, 4, 6, 8 The five-sided spinner is labelled 1, 3, 5, 7, 9
Louise adds the score on the four-sided spinner to the score on the five-sided spinner. She records the possible total scores in a table.
5-sided spinner
4-sided spinner
+ 2 4 6 8
1 3 5 7 9
3 5 7 9 11
5 7 9 11 13
7 9 11
9 11 13
(a) Complete the table of possible total scores.(1)
(b) Write down all the ways in which Louise can get a total score of 11 One way has been done for you.
(2, 9) .............................................................................................................................(2)
Both spinners are fair.
(c) Find the probability that Louise’s total score is less than 6
.....................................(2) Q22
(Total 5 marks)
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23. (a) Work out the value of
(i) the square of 6
.....................................
(ii) 24
.....................................(2)
(b) Work out the value of
(i) −10 ÷ 5
.....................................
(ii) −3 × −4
.....................................(2)
24. Here is a prism. It is made by cutting a solid cube of side 2 cm in half.
Find the volume of the prism. State the units with your answer.
....................................
Q23
(Total 4 marks)
Q24
(Total 3 marks)
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25. Chris plays golf.
Here are 15 of his scores.
69 78 82 86 77
83 91 77 92 80
74 81 83 77 72
(a) Draw an ordered stem and leaf diagram to show this information.
You must include a key.
(3)
(b) Write down the mode.
.....................................(1)
Key:
Q25
(Total 4 marks)
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26. Work out
.....................................
27. Use ruler and compasses to construct the perpendicular bisector of the line AB.
You must show all your construction lines.
A B
2017 −
52
Q26
(Total 2 marks)
Q27
(Total 2 marks)
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28.
P (2, 3)
Q (12, 7)
y
O x
Diagram NOTaccurately drawn
P is the point with coordinates (2, 3). Q is the point with coordinates (12, 7).
Work out the coordinates of the midpoint of the line PQ.
( .............. , ............... ) Q28
(Total 2 marks)
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29. (a) Expand and simplify 3(x + 5) + 2(5x – 6)
.....................................(2)
(b) Factorise 5x + 10
.....................................(1)
(c) Factorise x2 − 7x
.....................................(1) Q29
(Total 4 marks)
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30.
A
B
4 3 2 1 1 2 3 4 5 6 7
7
6
5
4
3
2
1
O1
2
3
4
5
_ _ _ __
_
_
_
_
y
x
Triangle A and triangle B are drawn on the grid.
(a) Describe fully the single transformation which maps triangle A onto triangle B.
.......................................................................................................................................
.......................................................................................................................................(3)
(b) Translate triangle A by the vector 30
.
Label the new triangle C.(1) Q30
(Total 4 marks)
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31. Here are the first five terms of an arithmetic sequence.
2 6 10 14 18
(a) Find, in terms of n, an expression for the nth term of this sequence.
.....................................(2)
(b) An expression for the nth term of another sequence is 10 − n2
(i) Find the third term of this sequence.
.....................................
(ii) Find the fifth term of this sequence.
..................................... (2)
TOTAL FOR PAPER: 100 MARKS
END
Q31
(Total 4 marks)
